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Understanding Function Notation in Algebra

Learn about function notation and how to evaluate functions with ordered pairs in Algebra I. Explore the purpose and process of writing relationships in function notation.

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Understanding Function Notation in Algebra

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  1. – ALGEBRA I – Unit 1 – Section 3 Function Notation Suppose that you have a two-variable relationship… To generate ordered pairs, you need to choose values for “x” and evaluate…

  2. – ALGEBRA I – Unit 1 – Section 3 Function Notation Here is a table to illustrate some answers:

  3. – ALGEBRA I – Unit 1 – Section 3 Function Notation To change this to function notation, it is just a matter of switching the variable… Let’s talk about functions notation in a little more detail…

  4. Function Notation FUNCTION NOTATION – an alternative way to write an equation that allows you to “name” different equations values that are input into a function Independent Variable Function Name This is read as “f of x”.

  5. Function Notation What is the purpose of writing a relationship in function notation? 1. Function notation allows you distinguish that a relationship is a function and has the caveat that each member of the domain matches with exactly on value in the range. Function (or an equation) Just an equation (not a function)

  6. Function Notation What is the purpose of writing a relationship in function notation? 2. Function notation allows you to give a relationship a “name” and distinguish between different relationships. This shows that there are three distinct relationships. Are all of the “y’s” referring to same thing?

  7. Function Notation Suppose that you are given a problem like the following… This means that you need to plug 3 in for “x” and simplify. It is just like evaluating an expression. The ordered pair would be:

  8. Function Notation Suppose that you are given a problem like the following… This means that you need to plug 9 in for “x” and simplify. It is just like evaluating an expression. The ordered pair would be:

  9. Function Notation Notice that the process is exactly same as if you were still using “y’s” rather than “f(x)’s”… You can compare the charts…

  10. Function Notation Notice that the process is exactly same as if you were still using “y’s” rather than “f(x)’s”… You can compare the charts…

  11. Try These Problems… Evaluate the following functions. 1. f(x) = 5x2 Find f(3). 2. g(y) = 5y2 + 4 Find g(0). 3. h(t) = 2t – 9 Find h(20). 4. T(x) = 3x3 – 4x Find T(2). **The answers can be found at the end of the PowerPoint.

  12. ALGEBRA IS FUN AND EASY! **Answers: 1) 45 2) 0 3) 31 4) 16

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